Thermodynamic quantities and phase diagrams of spin-1 Blume–Capel bilayer Ising model

2015 ◽  
Vol 29 (20) ◽  
pp. 1550141 ◽  
Author(s):  
Ersin Kantar ◽  
Mehmet Ertaş
Keyword(s):  
Field Theory ◽  
Ising Model ◽  
Phase Diagrams ◽  
Effective Field Theory ◽  
Critical Behavior ◽  
Tricritical Point ◽  
Effective Field ◽  
Square Lattice ◽  
Thermodynamic Quantities ◽  
Hamiltonian Parameters

An effective field theory with correlations has been used to study the critical behavior of the spin-1 Blume–Capel bilayer Ising model on a square lattice. The effects of the Hamiltonian parameters on thermodynamic quantities and phase diagrams are investigated in detail. We found that the system exhibits the first and the second order transitions as well as tricritical point. Furthermore, we have observed that the change of tricritical point values depends on interaction parameters.

Ferrimagnetic behaviors in a transverse Ising nanoisland

2016 ◽  
Vol 30 (14) ◽  
pp. 1650073 ◽  
Author(s):  
T. Kaneyoshi
Keyword(s):  
Field Theory ◽  
Ising Model ◽  
Phase Diagrams ◽  
Effective Field Theory ◽  
Interlayer Coupling ◽  
Effective Field ◽  
Transverse Ising Model

In this paper, the phase diagrams and magnetizations of a magnetic nanoisland described by the transverse Ising model (TIM) are investigated by the use of the effective-field theory (EFT) with correlations. A lot of characteristic behaviors observed in standard ferrimagnetic materials as well as novel phenomena have been obtained, although the system consists of two finite spin-1/2 layers coupled antiferromagnetically with a negative interlayer coupling.

Unique phase diagrams in a graphene-like transverse Ising nanoparticle

2018 ◽  
Vol 32 (23) ◽  
pp. 1850255 ◽  
Author(s):  
T. Kaneyoshi
Keyword(s):  
Field Theory ◽  
Ising Model ◽  
Phase Diagrams ◽  
Effective Field Theory ◽  
Transverse Field ◽  
Effective Field ◽  
Two Dimensional ◽  
Surface Exchange ◽  
Small Surface ◽  
Reentrant Phenomena

The phase diagrams and the magnetizations in a graphene-like two-dimensional nanoparticle described by the transverse Ising model are investigated by the use of the effective-field theory with correlations. We have found some characteristic behaviors especially for the system with a small transverse field and a small surface exchange interaction, such as the reentrant phenomena.

scholarly journals PHASE DIAGRAMS OF THE SPIN-1 BLUME–EMERY–GRIFFITHS MODEL IN A RANDOM TRANSVERSE FIELD

2004 ◽  
Vol 18 (31n32) ◽  
pp. 4129-4142 ◽  
Author(s):  
H. EZ-ZAHRAOUY ◽  
H. MAHBOUB ◽  
A. BENYOUSSEF ◽  
M. J. OUAZZANI
Keyword(s):  
Field Theory ◽  
Phase Diagrams ◽  
Effective Field Theory ◽  
Low Temperatures ◽  
Transverse Field ◽  
Effective Field ◽  
Long Range Order ◽  
Special Value ◽  
Tricritical Behavior ◽  
Beg Model

The effect of the random quantum transverse field Ω on the tricritical behavior of the spin-1 Blume–Emery–Griffiths (BEG) model is studied using an effective field theory. It is found that the tricritical behavior depends on both the biquadratic interaction K, single-ion anisotropy Δ and the concentration p of the disorder of Ω. Indeed, there exists a special value p1 of the probability p below which the tricritical behavior disappears. In addition, at sufficiently low temperatures, the system exhibits long-range order accompanied by the tricritical behavior below a special value p2 of the probability p.

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